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326                                         Multiple Reactions   Chap. 6

                                 Additional  information:
                                      Feed: 22.5  SCFIs of pure A
                                      Reaction conditions: 46OoF, 3 atm pressure
                                      Volumetric flow rate:  15 ft3/s at reaction conditions
                                      Concentration of A in feed: 4.47 X   Ib mol/ft3
                          P6-11B The following liquid-phase reactions were carried out in a CSTR at 325 K.

                                    3A + B+C             -ri~ = ~~ACA k,, = 0.7min-'
                                    4D+3C -                               k,D  = 0.3  mol2 - min
                                                                                    dm6
                                    2C+A  L_) 3D
                                                                          k,,  = 0.2 -
                                                                                   dm3
                                                  3E
                                                                                 mol 3 min
                                 The concentrations measured inside the reactor were CA = 0.10, CB = 0.93,
                                 C,  = 0.51, and CD  = 0.049 all in mol/dm3.
                                 (a)  What are rlA, r,,,  and r3A? (rlA = -0.07 mol/dm3.min)
          Sketch the trends or   (b)  what are ri~, ~2.13, and r3~?
           results you expect    (c)  What are'rlc, rZc, and r3c?  (Ilc = 0.023 mol/dm3-min)
          before working out     (d)  What are rlD, rZD, and r3D?
            the details of the   (e)  What are rlE, r2E. and r3E?
                  problem.       (f)  What are the net rates of formation of A,  B, C, D, and E?
                                 (g)  The entering volumetric flow rate is 100 dm3/min and the entering concentra-
                                    tion of A is 3 M. What is the CSTR reactor volume? (Am.: 4OOO dm3.)
                                 (h)  Wnte a Polymath program to calculate the exit concentrations when the vol-
                                    ume is given as 6OOO dm3.)
                         P6-12  Calculating the space-time for parallel reactions. m-Xylene is reacted over a
                                ZSM-5 zeolite  catalyst.  The  following parallel  elementary reactions  were
                                 found to occur [Znd Eng. Chem Res., 27,  942 (1988)l:

                                              m-xylene   kl   +  benzene + methane
                                                           >
                                              m-xy lene  ' p-xylene
                                (a)  Calculate the  space-time to  achieve 90%  conversion of  m-xylene in  a
                                    packed-bed reactor. Plot the overall selectivity and yields as a function of
                                    z.  The  specific  reaction  rates  are  k, = 0.22 s-l  and  k2 = 0.71 s-'  at
                                    673°C. A mixture of  75% m-xylene and 25%  inerts is fed to a tubular
                                    reactor at volumetric flow rate of 2000 dm3/min and a total concentration
                                    of  0.05  mol/dm3. As  a first approximation, neglect any  other reactions
                                    such as the reverse reactions and isomerization to o-xylene.
                                (b)  Suppose that E,  = 20,000 caVmol and E2 = 10,000 cdmol, what tem-
                                    perature would you recommend to maximize the formation of p-xylene
                                    in a CSTR with a space-time of 0.5 s?
                         P6-13, The following liquid phase reactions are carried out isothermally in a 50 dm3
                                PFR:
                                             B+2C -               rpI=kpICBC:
                                             A+2B  ___)  C+D
                                                                   rD,=k,,CACi
                                             2D+3A  ___)  C+E  rEz=kE2CAcD
                                                          D+F
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